A New Families Of Optimal Frequency-Hopping Sequences Of Composite Lengths Based On M-Sequences

As an important part of frequency hopping communication system,the performance of frequency hopping sequences directly affect the stability and security of frequency hopping communication. In this paper, we mainly construct one frequency hopping se-quence set y, containing pk distinct frequency hopping sequences of length q over Wk= {0,1,2,…, pk-1}, which is got by σ mapping based on an m sequence of length q= pn-1 over finite field Fp. According to the China Remainder Theorem, we generalize the fre-quency hopping sequence set y to be a new frequency hopping sequence set Z, which con-sists of pk frequency hopping sequences of length qq’over Wk x Wk. The frequency hopping sequence set y and Z possess good Hamming correlation and partial Hamming correla-tion, and they are optimal frequency hopping sequence sets respect to Lempel-Greenberger bound and Ren-Fu-Zhou bound.The constructed optimal frequency hopping sequences set with better randomness and complexity can greatly improve the anti-interference and se-curity of frequency hopping communication system.